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A034887 Number of digits in 2^n. 14
1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

T. D. Noe, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Mersenne Number

FORMULA

a(n) = floor(n*ln(2)/ln(10)) + 1. E.g. a(10)=4 because 2^10=1024 and floor(10*ln(2)/ln(10)+1=3+1=4 - Jaap Spies, Dec 11 2003

MAPLE

seq(floor(n*ln(2)/ln(10))+1, n=0..100); (from J. Spies)

MATHEMATICA

Table[Length[IntegerDigits[2^n]], {n, 0, 100}] (* T. D. Noe, Feb 11 2013 *)

CROSSREFS

Cf. A055253, A055254.

Sequence in context: A222642 A081832 * A192543 A082964 A209356 A099741

Adjacent sequences:  A034884 A034885 A034886 * A034888 A034889 A034890

KEYWORD

nonn,base,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 27 00:18 EST 2014. Contains 250152 sequences.